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Finding the Fourth Proportional to 102,879.82, 154,578.53 and 65,456.61

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Solution

The fourth proportional to 102,879.82, 154,578.53 and 65,456.61 is: 98,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,879.82 : 154,578.53 = 65,456.61 : x
  2. Step 2: Convert to fraction form
    102,879.82/154,578.53 = 65,456.61/x
  3. Step 3: Cross multiply
    102,879.82x = 154,578.53 × 65,456.61
  4. Step 4: Simplify right side
    102,879.82x = 10,118,186,552.58
  5. Step 5: Solve for x
    x = 10,118,186,552.58/102,879.82
  6. Step 6: Final answer
    x = 98,349.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.